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Finding the Fourth Proportional to 13,658.50, 20,468.70 and 10,324

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Solution

The fourth proportional to 13,658.50, 20,468.70 and 10,324 is: 15,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.50 : 20,468.70 = 10,324 : x
  2. Step 2: Convert to fraction form
    13,658.50/20,468.70 = 10,324/x
  3. Step 3: Cross multiply
    13,658.50x = 20,468.70 × 10,324
  4. Step 4: Simplify right side
    13,658.50x = 211,318,858.80
  5. Step 5: Solve for x
    x = 211,318,858.80/13,658.50
  6. Step 6: Final answer
    x = 15,471.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.